Prolastin-C treatment will be given weekly for eight (8) to sixteen (16) weeks by intravenous infusion. Blood will be collected immediately prior to each infusion. As in the previous study, complete blood count, lymphocyte phenotype, extended lymphocyte phenotype, lymphocyte function; HIV-1 viral load, lipid levels, blood chemistry, and markers of inflammation will be measured. The present study will also include measurements for HIV-1 tropism and markers for recent thymic emigrants.